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Finding the Fourth Proportional to 366.80, 505.80 and 261.76

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Solution

The fourth proportional to 366.80, 505.80 and 261.76 is: 360.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.80 : 505.80 = 261.76 : x
  2. Step 2: Convert to fraction form
    366.80/505.80 = 261.76/x
  3. Step 3: Cross multiply
    366.80x = 505.80 × 261.76
  4. Step 4: Simplify right side
    366.80x = 132,398.21
  5. Step 5: Solve for x
    x = 132,398.21/366.80
  6. Step 6: Final answer
    x = 360.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.